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Finding the Third Proportional to 1,128,458,646 and 1,742,997,393

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Solution

The third proportional to 1,128,458,646 and 1,742,997,393 is: 2,692,203,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128,458,646 : 1,742,997,393 = 1,742,997,393 : x
  2. Step 2: Convert to fraction form
    1,128,458,646/1,742,997,393 = 1,742,997,393/x
  3. Step 3: Cross multiply
    1,128,458,646x = 1,742,997,393 × 1,742,997,393
  4. Step 4: Simplify right side
    1,128,458,646x = 3,038,039,912,004,796,416
  5. Step 5: Solve for x
    x = 3,038,039,912,004,796,416/1,128,458,646
  6. Step 6: Final answer
    x = 2,692,203,141.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.